**Estimating Minimum Sample Size for a Given Margin of Error**To ensure the accuracy and reliability of statistical results, it is essential to determine the minimum sample size needed. This helps achieve the desired margin of error in research studies. Below is an example of how to calculate this for a specific scenario.**Scenario:**Objective: Estimate the minimum sample size needed to achieve a margin of error (E) of 0.029 for a 95% confidence interval.**Instructions:**1. **Determine the Margin of Error and Confidence Level:** - Margin of Error (E): 0.029 - Confidence Level: 95%2. **Calculate the Minimum Sample Size:** - The sample size can be determined using the formula for sample size calculation, which involves the standard deviation and critical value from the Z-distribution corresponding to the confidence level.3. **Round Up to the Nearest Integer:** Ensure the calculated sample size is rounded up to the nearest whole number to guarantee sufficient sample size.To answer the prompt, input the calculated sample size:The minimum sample size is [ ]. *(Round up to the nearest integer.)*This step is essential in statistical analysis, helping researchers avoid underestimating or overestimating the necessary sample size, leading to more accurate and reliable data interpretations.

given data 95% ci for p E = 0.029 n = ?

Answered: Estimate the minimum sample size needed…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Determine the minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and σ=19.2. Assume the population is normally distributed.A 99% confidence level requires a sample size ofenter your response here. (Round up to the nearest whole number as needed.)
Find the 98% confidence interval for the difference between two means based on this information about two samples. Assume independent samples from normal populations. (Use conservative degrees of freedom.) (Give your answers correct to two decimal places.) Sample Number Mean Std. Dev. 1 16 38 29 2 29 28 29 Lower Limit Upper Limit
What does brand loyalty mean to consumers? According to a recent research report, 38% of consumers associate trust with brand loyalty. Complete parts (a) through (e) below. a. To conduct a follow-up study that would provide 95% confidence that the point estimate is correct to within ±0.04 of the population proportion, how large a sample size is required? A sample size of 566566 consumers is required. (Round up to the nearest integer.) b. To conduct a follow-up study that would provide 99% confidence that the point estimate is correct to within ±0.04 of the population proportion, how many people need to be sampled? A sample size of 978978 consumers is needed. (Round up to the nearest integer.) c. To conduct a follow-up study that would provide 95% confidence that the point estimate is correct to within ±0.02 of the population proportion, how large a sample size is required? A sample size of 22632263 consumers is…
Find the critical value t, for the confidence level c = 0.99 and sample size n = 20. Click the icon to view the t-distribution table. ...... (Round to the nearest thousandth as needed.)
Find the Sample Size Required to Estimate a Population Mean With a Given Confidence Level Question Suppose the finishing times for cyclists in a race are normally distributed. If the population standard deviation is 16 minutes, what minimum sample size is needed to be 90% confident that the sample mean is within 5 minutes of the true population mean? Zo.10 Zo.05 Zo.025 Z0.01 Zo.005 1.2821.645 1.960 |2.326 2.576 Use the table above for the z-score, and be sure to round up to the nearest integer.
A previous study estimated the value of p to be 0.54. Find the minimum sample size required to ensure that your estimate ("p) will be within 0.01 of p with 90% confidence.
Determine the minimum sample size required when you want to be 90% confident that the sample mean is within one unit of the population mean and σ=18.9. Assume the population is normally distributed. A 90% confidence level requires a sample size of _____________.
Determine the minimum sample size required when you want to be 90% confident that the sample mean is within one unit of the population mean and o= 12.2. Assume the population is normally distributed. A 90% confidence level requires a sample size of (Round up to the nearest whole number as needed.)
(2) Choose the one alternative that best completes the statement or answers the question. Assume two independent random samples are available which provide sample proportions. For the first sample assume n₁ = 100 and x₁= 39. For the second sample, assume n₂= 100 and x₂= 49. Test the null hypothesis that the population proportions are equal versus the alternative hypothesis that the proportions are not equal at the 90% confidence level. Frame the test statistic by subtracting the proportion for population 1 from that for population 2. Pick an appropriate z value, p-value and conclusion. Round your answer to the nearest thousandth. Note that this is a two- tailed test. z-value = -1.425 p-value= 0.077 statistically significant z-value = 1.425 p-value= 0.077 statistically significant z-value = -1.425 p-value= 0.077 not statistically significant z-value = 1.425 p-value= 0.154 statistically not significant
Determine the minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and sigmaσequals=11.6 Assume the population is normally distributed. A 99% confidence level requires a sample size of (Round up to the nearest whole number as needed.)
In a random sample of ten people, the mean driving distance to work was 25.5 miles and the standard deviation was 7.3 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean μ. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 90% confidence interval for the population mean. (...) (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) OA. % of all random samples of ten people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. OB. It can be said that % of the population has a driving distance to work (in miles) that is between the interval's endpoints. OC. With % confidence, it can be said that most driving distances to…
For the provided sample mean, sample size, and population standard deviation, complete parts (a) through (c) below. Assume that x is normally distributed. x=31 n=9 σ=6 a. Find a 95% confidence interval for the population mean. The 95% confidence interval is from _______ to __________. (Round to two decimal places as needed.) b. Identify and interpret the margin of error. The margin of error is ___________ (Round to two decimal places as needed.) Interpret the margin of error. Choose the correct answer below. A. We can be 95% confident that the population mean, μ, is within the margin of error of the sample mean, 31. B. We can be 95% confident that any possible value of the variable is within the margin of error of the sample mean, 31. C. We can be 95% confident that any possible value of the variable is within the margin of error of the population mean, μ. D. We can be 95% confident that any possible sample mean is within the…

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

Estimate the minimum sample size needed to achieve the margin of error E = 0.029 for a 95% confidence intervail The minimum sample size is ... (Round up to the nearest integer.)